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Let’s check out your problem:
Find the missing number so that the equation has no solutions.
\newline
2
x
−
5
=
_
_
_
_
x
−
18
2x - 5 = \_\_\_\_x - 18
2
x
−
5
=
____
x
−
18
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Math Problems
Algebra 1
Create linear equations with no solutions or infinitely many solutions
Full solution
Q.
Find the missing number so that the equation has no solutions.
\newline
2
x
−
5
=
_
_
_
_
x
−
18
2x - 5 = \_\_\_\_x - 18
2
x
−
5
=
____
x
−
18
Find Missing Number:
Find the missing number so that the equation has no solutions.
2
x
−
5
=
_
_
_
_
x
−
18
2x - 5 = \_\_\_\_x - 18
2
x
−
5
=
____
x
−
18
Coefficients Comparison:
To have no solutions, the coefficients of
x
x
x
must be the same, but the constants must be different.
Set Coefficients Equal:
Set the coefficients of
x
x
x
equal: 2 = ____. The missing number is
2
2
2
.
Check Constants:
Check the constants:
−
5
≠
−
18
-5 \neq -18
−
5
=
−
18
. Since
−
5
-5
−
5
is not equal to
−
18
-18
−
18
, the equation has no solutions.
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How many solutions does the following equation have?
\newline
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